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Finding the Third Proportional to 4,645,567,522 and 7,101,661,235

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Solution

The third proportional to 4,645,567,522 and 7,101,661,235 is: 10,856,282,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645,567,522 : 7,101,661,235 = 7,101,661,235 : x
  2. Step 2: Convert to fraction form
    4,645,567,522/7,101,661,235 = 7,101,661,235/x
  3. Step 3: Cross multiply
    4,645,567,522x = 7,101,661,235 × 7,101,661,235
  4. Step 4: Simplify right side
    4,645,567,522x = 50,433,592,296,701,722,624
  5. Step 5: Solve for x
    x = 50,433,592,296,701,722,624/4,645,567,522
  6. Step 6: Final answer
    x = 10,856,282,264.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.